Question

`6(1)/(3)+4(3)/(4)+3(7)/(12)=`

Answer 1

14
`(2)/(3)`

Explanation:

Make equivalent fractions with all the same denominator. Let's us 12 as our common denominator

`(1)/(3)` x
`((4)/(4))` =
`(4)/(12)` Another name for
`(4)/(4)` is 1. (4 divided by 4 is 1) I am just making an equivalent fraction of
`(1)/(3)`

`(3)/(4)` x
`((3)/(3))` =
`(9)/(12)` another name for
`(3)/(3)` is 1 (3 divided by 3 is 1) I am just making an equivalent fraction of
`(3)/(4)`.

Now that my denominators are all the same size I can see how many 12's I have.

6
`(4)/(12)` + 4
`(9)/(12)` + 3
`(7)/(12)` I can rearrange this to add all the whole numbers together and all of the fractions together.

6 + 4 + 3 = 13

`(4)/(12)` +
`(9)/(12)` +
`(7)/(12)` =
`(20)/(12)` I have 20 12ths. every
`(12)/(12)` makes another whole, so

`(20)/(12)` 1 whole with
`(8)/(12)` Left over. If we put this all together, we have

13 + 1 +
`(8)/(12)`

14
`(8)/(12)` To simplify this. I will divide
`(8)/(12)` ÷
`(4)/(4)` =
`(2)/(3)`.

the final answer is 14
`(2)/(3)`